http://prntscr.com/jb0h86

What is the probability that a point chosen at random in the given figure will be inside the larger triangle and outside the smaller triangle?

Enter your answer, as a fraction in simplest form, in the box.

P(inside larger triangle and outside smaller triangle) =

quilly
Apr 27, 2018

#1**+2 **

The area of the larger triangle is (1/2) (base) * (height ) = (1/2)(10) * (6) = 30 cm^2

The area of the smaller triangle is : (1/2) (base ) ( height) = (1/2) (4)(4) = 8 cm^2

So...the area beween these triangles = 30 - 8 = 22 cm^2

So....

P( inside larger triangle and outside smaller triangle) =

area between triangles / area of larger triangle =

22 / 30 = 11 / 15

CPhill
Apr 27, 2018